From Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems

  • Author : Daizhan Cheng
  • Publsiher : Academic Press
  • Release : 18 May 2019
  • ISBN : 9780128178027
  • Page : 364 pages
  • Rating : 4/5 from 21 voters

Download or read online book entitled From Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems written by Daizhan Cheng and published by Academic Press. This book was released on 18 May 2019 with total page 364 pages. Available in PDF, EPUB and Kindle. Get best books that you want by click Get Book Button and Read as many books as you like. Book Excerpt : From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications. Provides, for the first time, cross-dimensional system theory that is useful for modeling dimension-varying systems. Offers potential applications to the analysis and control of new dimension-varying systems. Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid of matrices with arbitrary dimensions.

From Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems

From Dimension Free Matrix Theory to Cross Dimensional Dynamic Systems
Author: Daizhan Cheng
Publisher: Academic Press
Relase: 2019-05-18
ISBN: 9780128178027
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The Bulletin of Mathematics Books

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Relase: 1984
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Relase: 1993
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Relase: 1994
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Author: Richard Evelyn Donohue Bishop,W. G. Price,Institution of Mechanical Engineers (Great Britain),United States. Office of Naval Research,Royal Institution of Naval Architects
Publisher: Mechanical Engineering Publications Limited
Relase: 1975
ISBN: UCSD:31822012200978
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Relase: 1992
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